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20105060 = 22537101269
BaseRepresentation
bin100110010110…
…0011101100100
31101211102221212
41030230131210
520121330220
61554530552
7332614223
oct114543544
941742855
1020105060
1110392258
126896a58
13421c1b1
142954cba
151b720c5
hex132c764

20105060 has 48 divisors (see below), whose sum is σ = 43953840. Its totient is φ = 7718400.

The previous prime is 20105053. The next prime is 20105087. The reversal of 20105060 is 6050102.

It can be written as a sum of positive squares in 8 ways, for example, as 692224 + 19412836 = 832^2 + 4406^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74606 + ... + 74874.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 220105060 is an apocalyptic number.

20105060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20105060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920).

20105060 is an abundant number, since it is smaller than the sum of its proper divisors (23848780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20105060 is a wasteful number, since it uses less digits than its factorization.

20105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20105060 is about 4483.8666349480. The cubic root of 20105060 is about 271.9162263637.

Adding to 20105060 its reverse (6050102), we get a palindrome (26155162).

The spelling of 20105060 in words is "twenty million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 269 370 404 505 538 740 1010 1076 1345 2020 2690 3737 5380 7474 9953 14948 18685 19906 27169 37370 39812 49765 54338 74740 99530 108676 135845 199060 271690 543380 1005253 2010506 4021012 5026265 10052530 20105060